“It’s about questioning, publicly questioning, what you are doing for a living and with regard to your boss.,” Bash said.

Conway replied: “You just brought him into this, so this oughta be fun moving forward. We’re now going to talk about other people’s spouses and significant others just because they either work at the White House or at CNN? Are we going to do that? You just went there.”

She added that CNN posed questions about her husband to try to “harass and embarrass” her.

WATCH: Kellyanne Conway suggests U.S. surveillance includes ‘microwaves that turn into cameras’

The exchange continued to heat up as Bash went on to say that disagreements within a marriage can be difficult. Conway then accused the host of prying into her personal life.

Bash then wrapped up the interview saying: “You are a professional working for the president of the United States, and your husband is a very well-respected lawyer. My point is that we don’t often see, in fact, I don’t remember the last time we saw, someone working for the president in a high-profile position when their spouse is saying critical things about them. That is all.”